Q. 1

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A person wants to buy 1 fountain pen, 1 ball pen and 2 pencils from a shop where there are 10 fountain pen, 12 ball pen and 5 pencil varieties. How many choices can he have? | A person wants to buy 1 book, 1 note book and 2 pencils from a shop. How many choices can he have? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: D

Q. 2

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From A to B there are 3 different flights. From B to C there are 5. From C to D there are 2. How many routes are there for Sunita if she has to go from A to B, then to C and finally to D? | From B to A there are 3 different flights. From C to B there are 5. From D to C there are 2. How many routes are there for Shelly if she has to go from D to C, then to B and finally A? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer:
- Answer: C

Q. 3

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Given 7 flags of different colours. How many different signals can be made using 3 flags at a time, one below the other? | Out of 7 children we have to make three stand one after the other. In how many ways can this be done? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: C

Q. 4

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How many boat parties of 8, consisting of 5 boys and 3 girls, can be made from 25 boys and 10 girls? | How many boat parties of 8, consisting of 5 boys and 3 girls, can be made from 10 boys and 25 girls? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: A

Q. 5

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In how many ways can a football team of 11 players be selected from 16 players including 2 particular players? | In how many ways can a football team of 11 players be selected from 16 players excluding 2 particular players? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: A

Q. 6

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A committee of 2 professors and 3 students has to be formed in a college. 10 professors have been short listed for this. In how many ways can this be done if a particular student has to be excluded? | A committee of 2 professors and 3 students has to be formed in a college. 10 professors have been short listed for this. In how many ways can this be done if a particular student has to be included? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: D

Q. 7

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There are two sections in a question paper. In the first section 3 questions have to be attempted out of 4 and in the second section 4 have to be attempted out of 5. In the second section the first two questions are compulsory. How many choices can a student make? | There are two sections in a question paper. In the first section 3 questions have to be attempted out of 4 and in the second section 4 have to be attempted out of 5. How many choices can a student make? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: C

Q. 8

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Using all the prime numbers less than 10 how many three-digit even numbers can be made if repetition is not allowed? | Using all the prime numbers less than 7 how many two-digit numbers can be made if repetition is not allowed? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: A

Q. 9

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Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from 5 letters of English alphabet without repetition and the digits are also not to be repeated then how many serial numbers are possible? | Serial numbers for an item produced in a factory are to be made using four letters followed by two digits (0 to 9). If the letters are to be taken from 5 letters of English alphabet without repetition and the digits are also not to be repeated then how many serial numbers are possible? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: C

Q. 10

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From 8 boys and 8 girls in a party 3 boys and 3 girls have to be selected for a game. Find the number of different ways in which this can be done. | From 8 boys and 8 girls in a party 5 boys and 5 girls have to be selected for a game. Find the number of different ways in which this can be done. |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: C

Q. 11

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Six points lie on a circle. How many chords can be drawn joining these points? | Six points lie on a circle. How many quadrilaterals can be drawn joining these points? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: C

Q. 12

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How many three digit numbers greater than 500 can be formed by using the digits 2, 3,4,5,6? | How many three digit numbers less than 500 can be formed by using the digits 2, 3,4,5,6? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: B

Q. 13

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In how many ways can an examinee answer a set of 8 true-false type questions? | In how many ways can an examinee answer a set of 5 objective type questions, each question having 3 choices? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: A

Q. 14

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A number lock has four rings each marked with 9 different digits. In how many ways is it possible to set the lock? | A number lock has three rings each marked with 10 different digits. In how many ways is it possible to set the lock? |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: A

Q. 15

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Find the number of ways in which 6 boys and girls can be seated in a row so that no two girls may sit together. | Find the number of ways in which 5 boys and 3 girls can be seated in a row so that no two girls may sit together. |

- a. The quantity on the left is greater
- b. The quantity on the right is greater
- c. Both are equal
- d. The relationship cannot be determined without further information
- Answer: D